The River City redevelopment authority wants to add a minimum of one thousand new parking spaces in the downtown area. The following table shows the estimated cost (in millions of dollars) of the 4 proposed projects and the number of spaces each would yield (in hundreds).

The authority wants to meet its goal at minimum total cost. Assume that every project is available only on an all-or-nothing basis.

(a)Formulate a knapsack ILP to choose an optimal parking program.

(b)Solve your knapsack by inspection.